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The elements of Euclid for the use of schools and colleges : comprising the first two books and portions of the eleventh and twelfth books; with notes and exercises (1880)

Todhunter, I. (Isaac), 1820-1884 · Toronto : Copp, Clark · leaf 26

An illustration from The elements of Euclid for the use of schools and colleges : comprising the first two books and portions of the eleventh and twelfth books; with notes and exercises, 1880, leaf 26
16. THEOREM.If one side of a triangle he produced, the exterior angleshall he greater than either of the interior opposite angles. Let ABC be a triangle, and let one side BC be pro-fluced to D : the exterior angle A CD shall be greater thaneither of the interior opposite angles CBA, BAC Bisect AC… … BOOK I. 16, 17. 21 and the angle AEB is eqnal to the angle CEF,because they are opposite ver-tical angles; [I. 15.therefore the triangle AEBis equal to the triangle CEF,and the remaining angles tothe remaining angles, each toeach, to which the equal sidesare opposite; [I. 4.therefore the angle BAE…

Geometry · Euclid's Elements · Mathematics, Greek

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